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steposvetlana [31]
2 years ago
15

A store owner give 5% discount on all his bicycles. For a bicycle prices at $24,000 (without discount) he decides to give an add

itional 3 % discount. What is the final price of the bicycle?
With work out
Mathematics
2 answers:
stepladder [879]2 years ago
4 0

Answer:

23999.98

Step-by-step explanation:

abruzzese [7]2 years ago
4 0

Answer:

36

Step-by-step explanation:

5% of 24,000 is 1,200

3% of 1,200 is 36

sorry if this was not helpful

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I have 100 items of product in stock. The probability mass function for the product's demand D is P(D=90)=P(D=100)=P(D=110)=1/3.
masya89 [10]

Answer:

The probability mass function for the items sold is

P_X(k) = \left \{ {\frac{1}{3} \, \, \, {k=90} \atop \, \frac{2}{3} \, \, \, {k=100}} \right.

The mean is 96.667

The variance is 22.222

b) The probability mass function for the unfilled demand due to lack of stock is

P_Y(k) = \left \{ {\frac{2}{3} \, \, \, {k=0} \atop \, \frac{1}{3} \, \, \, {k=10}} \right.

The mean is 3.333

The variance is 33.333

Step-by-step explanation:

If the demand is higher than 100, then you will sell 100 items only. Thus, there is a probability of 1/3+1/3 = 2/3 that you will sell 100 items, while there is a probability of 1/3 that you will sell 90.

The probability mass function for the items sold is

P_X(k) = \left \{ {\frac{1}{3} \, \, \, {k=90} \atop \, \frac{2}{3} \, \, \, {k=100}} \right.

The mean is 1/3 * 90 + 2/3 * 100 = 290/3 = 96.667

The variance is V(X) = E(X²)-E(X)² = (1/3*90² + 2/3*100²) - (290/3)² = 200/9 = 22.222

b) If order to be unfilled demand, you need to have a demand of 110, which happens with probability 1/3. In that case, the value of the variable, lets call it Y, that counts the amount of unfilled demand due to lack of stock is 110-100 = 10. In any other case, the value of Y is 0, which would happen with probability 1-1/3 = 2/3. Thus

P_Y(k) = \left \{ {\frac{2}{3} \, \, \, {k=0} \atop \, \frac{1}{3} \, \, \, {k=10}} \right.

The mean is 2/3 * 0 + 1/3 * 10 = 10/3 = 3.333

The variance is 2/3*0² + 1/3*10² = 100/3 = 33.333

4 0
2 years ago
Three consecutive odd integers are such that the sum of the first and second is 31 less than 3 times the third. Find the integer
Otrada [13]

1st:x

2nd x+2

3rd: x+4

(x)+(x+2) = 3(x+4)-31

distribute

2x+2 = 3x+12-31

2x+2 =3x-19

subtract 2x from each side

2 = x-19

add 19 to each side

21 =x

Answer: 21,23,25

3 0
3 years ago
Write the number shown in standard form and expanded notation
zhenek [66]

Given:

Standard form and expanded notation

Find-:

The number shown in standard form and expanded notation

Explanation-:

The standard form is

Standard form = The standard form is

abcde=a.bcde\times10^4

For example, is

5326.6=5.3266\times10^3

The expanded form is

The expanded = Expanded form is a way to write a number by adding the value of its digits. We can use a place value chart to determine the value of a number's digits.

For example

7229=7000+200+20+9

3 0
1 year ago
Everything was marked down 30%. The oringinal price of a manatee hat was $18. What was the clearence price
valentinak56 [21]
.3 * 18 = 5.4. 18-5.4 = 12.6$

Or

.7 * 18 = 12.6$
5 0
3 years ago
Simplify. Write the expression using only positive exponents. 8x^3/2x^9
Helga [31]
4x
4 \frac{1}{ {x}^{6} }
6 0
3 years ago
Read 2 more answers
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